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91Ó°ÊÓ

Solve each system of equations by the substitution method.

y=2x+53x-y=4

Short Answer

Expert verified

The solution of given system of equations is x=9, y=23.

Step by step solution

01

Step 1. Substitute the value of one variable from one equation to another.

Substitute 2x+5 for y into 3x−y=4and simplify.

3x−2x+5=43x−2x−5=4x−5=4

02

Step 2. Solve for one variable.

Add 5 on each side of the equation obtained in step 1 to find the value of x.

x−5+5=4+5x=9

03

Step 3. Solve for another variable.

Substitute 9 for x into y=2x+5, to find the value of y.

y=2×9+5=18+5=23

Therefore, the solution of a given system of equations is x=9, y = 23.

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